How to generate a full sprite sheet automatically
Perhaps putting a Cycles modifier on the animation fcurves so that the animation repeats for each of the different camera angles ( for 23 * 8 frames) would accomplish your mission:



The biggest stumbling block is making sure you have the right span of keyframes to control how many frames the cycle has.  You will probably find yourself adding keyframes at the beginning and ending of the loop (frame 30 and 53=52+1) to ensure that it loops correctly.